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Finding the Third Proportional to 43,271 and 93,005

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Solution

The third proportional to 43,271 and 93,005 is: 199,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,271 : 93,005 = 93,005 : x
  2. Step 2: Convert to fraction form
    43,271/93,005 = 93,005/x
  3. Step 3: Cross multiply
    43,271x = 93,005 × 93,005
  4. Step 4: Simplify right side
    43,271x = 8,649,930,025
  5. Step 5: Solve for x
    x = 8,649,930,025/43,271
  6. Step 6: Final answer
    x = 199,901.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.